There are a few reasons a camera may not turn on.
* The battery could be low on energy or old and corroded.
* The battery terminal is dirty.
* The circuit connector is broken.
* The power button is broken.
Some solutions to this problem are:
* Charging or replacing your battery.
* Replacing the circuit connector.
* Contact the manufacturer for information on power button replacement, repair, and warranties.
* Clean the battery terminal with a dry cloth.